Helpppppppp meeeeeeee

Answer:

mai mic număr natural care se divide cu 24, 36 și 60. 9. ... 2. Dacă fracțiile. 12 x și. 1. 3 sunt echivalente, atunci x este: a) 36; b) 2; c) 3; ... D = Mulțimea numerelor naturale care, înmulțite cu 3, dau 18; E= Mulțimea divizorilor lui 9. 6.

Step-by-step explanation:

mai mic număr natural care se divide cu 24, 36 și 60. 9. ... 2. Dacă fracțiile. 12 x și. 1. 3 sunt echivalente, atunci x este: a) 36; b) 2; c) 3; ... D = Mulțimea numerelor naturale care, înmulțite cu 3, dau 18; E= Mulțimea divizorilor lui 9. 6.

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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So the correct possible triangular outline for the garden is:

5 + 2.5 > 4

4 + 2.5 > 5

4 + 5 > 2.5

Given information:

Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet, and 4 feet.

He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work.

The sums that prove that the boards will create a triangular outline for the garden are:

5 + 2.5 > 4

4 + 2.5 > 5

4 + 5 > 2.5

So the correct options are:

5 + 2.5 > 4

4 + 2.5 > 5

4 + 5 > 2.5

These sums satisfy the triangle inequality rule, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

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Answer:

\(-2<x<-\dfrac{3}{4}\) Or \(x\in (-2,-\dfrac{3}{4})\)

Step-by-step explanation:

The numbers are \(-\dfrac{3}{4}\) and \(-2\).

We need an inequality that gives us the numbers between the above numbers.

The inequality will be

\(-2<x<-\dfrac{3}{4}\)

Or

\(x\in (-2,-\dfrac{3}{4})\)

This means that \(x\) is a number that is in between the rational numbers \(-\dfrac{3}{4}\) and \(-2\). Also, \(x\) is greater than \(-2\) and less than \(-\dfrac{3}{4}\)

The positions in the number line are shown in the figure where the numbers are marked by arrow.

Answer:

Given

f

(

x

)

=

4

⋅

7

x

For

x

=

−

1

we have

f

(

−

1

)

=

4

⋅

7

−

1

=

4

7

using

a

−

n

=

1

a

n

For x=2, we have

f

(

2

)

=

4

⋅

7

2

=

196

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

\(f(x) = 4. {7}^{x} \\ \\ plug \: x = - 1 \\ \\ f( - 1) = 4. {7}^{ - 1} \\ \\ f( - 1) = \frac{4}{7} \\ \\plug \: x = 2 \\ \\ f( 2) = 4. {7}^{ 2} \\ \\ f( 2) = 4 \times 49 \\ \\f( 2) = 196 \\ \\\)

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)

Answer:

113.04m²

Step-by-step explanation:

Area of circle: \(\pi\) × r²

Radius = \(\frac{diameter}{2}\)

We can just apply the formula to the question:

Area of circle = 3.14 × (\(\frac{12}{2}\))²

                      = 3.14 × 36

                      = 113.04m²

Answer:

Try either 33.6 or 24

Step-by-step explanation:

I'm not really sure but it's either one of these two. Good luck

The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

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You have the right one selected.

The answer is 2:1

To find this take each side of ABC and its corresponding side on DEF, then simplify. You can treat ratios just like fractions, so simplify them in the same way.

20:10 becomes 2:1

12:6 becomes 2:1

16:8 becomes 2:1

The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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The simplified form of the expression 3 1/5x + 10 7/9 - 2 2/5x - 10 8/9 is 4/5x - 1/9.

To simplify the expression: 3 1/5x + 10 7/9 - 2 2/5x - 10 8/9, we need to perform the addition and subtraction of the terms.

First, let's focus on the x terms: 3 1/5x - 2 2/5x.

The whole numbers can be treated as fractions with a denominator of 1. Thus, we have:

(3 1/5)x - (2 2/5)x.

To perform the subtraction, we need to find a common denominator for the fractions involved, which is 5.

(3 1/5)x - (2 2/5)x = (16/5)x - (12/5)x.

Now we can subtract the terms:

(16/5)x - (12/5)x = (16 - 12)/5x.

Simplifying further:

4/5x.

Now let's simplify the whole number and fraction terms: 10 7/9 - 10 8/9.

10 - 10 = 0.

The fraction terms can be simplified by finding a common denominator, which is 9:

(7/9) - (8/9) = (-1/9).

Now we can combine all the simplified terms:

3 1/5x + 10 7/9 - 2 2/5x - 10 8/9

= (4/5x) + 0 + (-1/9)

= 4/5x - 1/9.

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Tthe triangle that is a reflection of the green triangle is figure 1

From the question, we have the following parameters that can be used in our computation:

The figures

Where, we have:

This means that the triangle that is a reflection of the green triangle is figure 1

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Answer:

x * 2.54 = centimeters

Step-by-step explanation:

The equation to convert inches to centimeters is as follows:

x inches * 2.54 cm/inch = y centimeters

Where x is the number of inches and y is the equivalent length in centimeters.

To elaborate, the conversion factor between inches and centimeters is 2.54 cm/inch, meaning that for every inch there are 2.54 centimeters. To convert from inches to centimeters, we simply multiply the number of inches by the conversion factor. This gives us the equivalent length in centimeters.

The assemble for maximum profit  is mathematically given as

For maximum profit, 100 tire and 0 strings must be assembled.

Generally, the equation for the max number  is mathematically given as

Mx=50x+20y

Therefore

2x+3y \leq 250

x1+x\leq=100

Therefore

with cordinates of

(0,0)

(100,0)

(50,50)

(0,250/3)

In conclusion, The mx of 50x+20y is (100,0)

Hence, for maximum profit 100 tire and 0 strings must be assembled.

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Answer:

0.4246

Step-by-step explanation:

Given data:

mean ( u ) = 15 inches

std ( б )= 6 inches

sample size( n ) = 46

ux = mean sample length

Determine the probability that x within 0.5 inch of the claimed population mean

ux = u = 15

бx = б/ √ 46 =  6 /√ 46 = 6 / 6.78 = 0.88

Hence the   P( 14.5 < x < 15.5 )

= P ( [14.5 - 15 / 0.88 ] < z < (15.5 - 15) / 0.88) )

= P ( -0.5682 < z <  0.5682 )

= P ( z < 0.5682 ) - P ( z < -0.5682 )

= 0.7123 - 0.2877  ( from Z table )

= 0.4246

Answer:

x ≥ 3

Step-by-step explanation:

- 3(2x - 1) ≤ x - 18 ← distribute parenthesis on left side

- 6x + 3 ≤ x - 18 ( subtract x from both sides )

- 7x + 3 ≤ - 18 ( subtract 3 from both sides )

- 7x ≤ - 21

divide both sides by - 7, reversing the symbol as a result of dividing by a negative quantity.

x ≥ 3

The measure of the arc opposite to 189° is 136°.

Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.

The measure of the angle opposite to 189° is x.

To solve for x, we can use the property of alternate interior angles.

The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.

Therefore, the two angles formed by the secant lines inside the circle must have the same measure.

Therefore, 53° + x° = 189°.

Subtracting 53° from both sides, we get x° = 136°.

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Answer:

the P-value = 0.1977

conclusion: Since the p-value is not small;

we reject null hypothesis

hence, the data does not support claim that more than half of the bathroom scales underestimate weight.

Step-by-step explanation:

 Given the data in the question;

let X represent the number of successes ( the weight is underestimated ) in n independent Bernoulli trials, each with the success probability p

X - Bin( n,p).

so

Null hypothesis             H₀ : p ≤ 0.5

Alternative hypothesis Hₐ : p > 0.5

now, compute np₀ and n( 1 - p₀ )

np₀ = (50)(0.5)

np₀ = 25

n( 1-p₀ ) = (50)(1 - 0.5)

n( 1-p₀ ) = 25

we can see that both values are greater than 10.

∴ the sample proportion is approximately normally distributed;

P" - N ( p₀, \(\frac{p_{0}(1-p_0)}{n}\) )

sample proportion p" = 28/50 = 0.56

standard deviation will be;

σ\(_{p"\) = √( p₀(1-p₀) / n )

σ\(_{p"\) = √( 0.5(1-0.5) / 50 )

σ\(_{p"\) = √( 0.25 / 50 )

σ\(_{p"\) = 0.07071

Next is the Z-score

z = p" - p₀ / σ\(_{p"\)

z =  0.56-0.5 / 0.07071

z = 0.06 / 0.07071

z = 0.85

from table,

the probability that a standard normal random variable takes on a value greater than 0.85 is approximately 0.1977

Therefore, the P-value = 0.1977

conclusion: Since the p-value is not small;

we reject null hypothesis

hence, the data does not support claim that more than half of the bathroom scales underestimate weight.

p = 0.197663

The given equation is y + 2 = 2(x + 3) and the x-intercept is -2.

To find the x-intercept of the equation y + 2 = 2(x + 3), we need to set y equal to zero and solve for x. The x-intercept occurs when the value of y is zero, meaning the graph crosses the x-axis.

Let's substitute y with 0 in the equation:

0 + 2 = 2(x + 3)

Simplifying the equation:

2 = 2(x + 3)

Dividing both sides by 2:

1 = x + 3

Subtracting 3 from both sides:

-2 = x

The x-intercept is -2. This means that the graph of the equation y + 2 = 2(x + 3) crosses the x-axis at the point (-2, 0).

The x-intercept represents the value of x where the graph intersects or crosses the x-axis. In this case, it occurs when x is equal to -2, and the y-value is zero.

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Answer:

51

Step-by-step explanation:

33+2(5+8)-(6-2)2

open the brackets FIRST

2(5+8) = 26

33+26-(6-2)2

33+18

= 51

Answer:

28.9

Step-by-step explanation:

tan (18) = 9.4/x times x

x times tan(18) = 9.4 / tan(18)

            tan(18)

        crosses out.

On a calculator do 9.4/

                             tan(18).

x = 28.9

The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively

Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class

The given parameters that will help us to get the percentage are

Mean height of the class = 152 cm

Mean height of the boys = 158 cm

The standard deviation of the boys = 5 cm

Mean height of the girls = 148 cm

Standard deviation of the girls = 4 cm

(1) The percentage of boys in the class is

Total mean height = 158 +148 = 306

Percentage = 158/306 * 100 = 51.6%

Then the  percentages 51.6/100 * 152 = 78%

(2) The total standard deviation of all the students

Boys + girls = 5+4 = 9 cm

Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively

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A) The slope between the points (0, -4) and (2, -1) is 1.5.

b)  the slope between the points (0, -4) and (4, -1) is 0.75.

c) The slope of 0.75 indicates that for every 1 unit increase in x, there is a 0.75 unit increase in y.

Part A: To calculate the slope between two points, we use the formula:

slope = (change in y) / (change in x)

Let's choose the points (0, -4) and (2, -1).

Change in y = -1 - (-4) = 3

Change in x = 2 - 0 = 2

slope = 3 / 2 = 1.5

Therefore, the slope between the points (0, -4) and (2, -1) is 1.5.

Part B: Let's choose different points from the table, such as (0, -4) and (4, -1).

Change in y = -1 - (-4) = 3

Change in x = 4 - 0 = 4

slope = 3 / 4 = 0.75

Thus, the slope between the points (0, -4) and (4, -1) is 0.75.

Part C: The slopes from parts A and B provide information about the relationship between the points.

In part A, where the slope was calculated as 1.5, we can see that as the x-values increase by 2 units, the y-values increase by 3 units. This suggests a positive relationship between the points, meaning that as x increases, y also increases. The slope of 1.5 indicates that for every 1 unit increase in x, there is a 1.5 unit increase in y.

In part B, where the slope was calculated as 0.75, we observe a similar positive relationship between the points. As the x-values increase by 4 units, the y-values increase by 3 units. The slope of 0.75 indicates that for every 1 unit increase in x, there is a 0.75 unit increase in y.

Overall, the positive slopes in both parts A and B suggest that the points on the table exhibit a positive linear relationship. This means that as x increases, y also increases, and the rate of change is consistent based on the slope.

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The sale tax rate is equal to the ratio of change in sales tax to the corresponding chane in cost of item.

Determine the sales tax rate.

So sales tax rate is 0.046 or 4.6% of cost of item.